UNIVERSITY OF CAPE TOWN
DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS
MAM1012S
TUTORIAL 2
1.
1.1. What is the future value of
rand, compounded continuously at
time to time ?
1.2. Explain what each of the symbols in this formula stands for:
from
.
1.3.
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS
MAM1012S
TUTORIAL 7
1. The table below represents the input- output relationship between two sectors of the
economy, (1) wood products and (2) paper products (all figures are in mil
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS
MAM1012S
TUTORIAL 5
1. State for each one of the statements below whether it is true or false. If you think the
statement is true, you must explain why it holds for all such linear
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS
MAM1012S
TUTORIAL 4
1. Find the general solutions of the following differential equations:
1.1.
1.2.
1.3.
1.4.
1.5.
_
2. Find the particular solution of the differential equations b
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS
MAM1012S
TUTORIAL 3
1. Classify the integrals in the table below as proper or improper giving reasons. [Do not
evaluate the integrals.]
Integral
Proper
Improper
Reason
2. Evaluate t
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS
MAM1012S
TUTORIAL 8 Solutions
The Taylor polynomial of order
for
about :
1. Find the Taylor polynomial of 5th degree for the given function at the indicated point
:
[Note: 5th degre
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS
MAM1012S
TUTORIAL 10
1. In the diagram below, point E is (1;3;2).
1.1. Write down the coordinates of all the other vertices of the rectangular
prism: A, B, C, O, D, F and G.
1.2. Ca
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS
MAM1012S
TUTORIAL 9
The Taylor series for
about :
The Binomial Series:
The Binomial Theorem:
where
( )
where
R
N
1. Use Taylor series to evaluate the following limits if they exist:
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS
MAM1012S
TUTORIAL 2 Solutions
1.
1.1.
1.2.
This is the formula giving the future value of a continuous income stream.
If income is received at R(t) rand per unit of time, from time
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS
MAM1012S
1. Let
TUTORIAL 6
(
) ,
(
) and
(
)
Evaluate:
1.1.
1.2.
1.3.
1.4.
1.5.
1.6.
1.7.
1.8.
_
2. Solve for
and
if:
2.1. (
2.2. (
)
)
(
)
(
)
_
3. The
matrix shows the number (in
SCHOOL OF ECONOMICS
ECO2003F: INTERMEDIATE MICROECONOMICS
FINAL EXAMINATION
MAY 2013
Time: 3 hours and 15 minutes
Total marks: 180 marks
Examiner: Katherine Eyal
Internal Moderator: Leonard Smith
External Examiner: Gideon Du Rand
Instructions:
1. Ther
SCHOOL OF ECONOMICS
ECO2003F: INTERMEDIATE MICROECONOMICS
SUPPLEMENTARY EXAMINATION
JANUARY 2014
Time:
Total marks:
3 hours and 15 minutes.
180 marks
Examiner:
Katherine Eyal
Internal Moderators: Leonard Smith
External Examiner: Gideon Du Rand
Instruction
School of Management Studies
Faculty of Commerce
BUS2010S
Marketing 1 - Duration: 2 hours
Supplementary Exam, January 2015
Examiner:
Prof. John Simpson & James Lappeman
Instructions:
The exam is comprised of a case study
Ensure that your answers are numbe
BU2010F
Practice Paper (Test / Exam)
H&M to open first stores in South Africa
in 2015.
Swedish value-fashion giant H&M announced this week that it is to open
its first store in South Africa in 2015; a move that repre
BU2010F
Past Paper - Practice Example
The highly anticipated Apple Watch will launch on April the 24th 2015. The watch is an iPhonecompatible smart watch and is the first piece of wearable technology produce
BU2010F
Test & Exam Practice Past Papers
A home-cooked veg offer you cannot refuse
No more excuses about not eating your veggies now that Nuveg
is selling its selection of super-delicious, pre-cooked, preseasoned So
BU2010F
Test & Exam Practice Example
Innovation for Social Good: Danimal in South Africa
Groupe Danone is a multinational food products corporation
based in Paris. It has four product lines: fresh dairy products,
waters, e